SOLUTION: During one month, a homeowner used 300 units of electricity and 140 units of gas for a total cost of $106.20. The next month, 250 units of electricity and 250 units of gas were use

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Question 1179778: During one month, a homeowner used 300 units of electricity and 140 units of gas for a total cost of $106.20. The next month, 250 units of electricity and 250 units of gas were used for a total cost of $112.50. Find the cost per unit of gas.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This was done a few days ago.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
During one month, a homeowner used 300 units of electricity and 140 units of gas
for a total cost of $106.20. The next month, 250 units of electricity and 250 units of gas
were used for a total cost of $112.50. Find the cost per unit of gas.
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Write equations as you read 


    300E + 140G = 106.20     (1)

    250E + 250G = 112.50     (2)



You need find G.  Use the determinant method (the Cramer's rule)



    G = %28300%2A112.50+-+250%2A106.20%29%2F%28300%2A250-250%2A140%29 = 0.18  dollars.    ANSWER

Solved.

Do not be scared seeing this long formula filled with numbers.
You can get the answer in  ONE  CLICK  copying this formula into the  Excel spreadsheet
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On the  Determinants' method for solving systems of two linear equations in two unknowns see the lesson
    - Solution of the linear system of two equations in two unknowns using determinant
in this site.

Also,  you have this free of charge online textbook in  ALGEBRA-I  in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.